Determine the moment of each of the three forces about point { m

B}

MF1(B)=?

MF2(B)=?

MF3(B)=?

## Answer

## General guidance

The major assumption for applying these equilibrium equations is that the body remains rigid.

To apply these equilibrium equations, we need to know the known and unknown forces that act on the body. When all the supports are removed by replacing them with forces that prevents the translation of body in a given direction that diagram is called free body diagram.

The magnitude of the resultant force is equal to area under the loading diagram.

The resultant has a line of action the passes through the centroid.

Write the equilibrium equations.

Here, the resultant force is and the resultant moment about any arbitrary point is .

**Sign Convention for force**:** **Upward and right forces are positive.

**Sign Convention for moment**:** **Anti clockwise moment is positive.

## Step-by-step

### Step 1 of 4

Draw the schematic figure of the force system.

The schematic figure of the force system is drawn.

### Step 2 of 4

Calculate the moment for the force about point *B* using the equilibrium condition.

**The moment for the force **** ****about point ****B**** is ****.**

The moment of force about point *B* is calculated using the equilibrium condition.

### Step 3 of 4

Calculate the moment for the force about point *B*.

**The moment for the force **** ****about point ****B**** is ****.**

The moment of force about point *B* is calculated using the equilibrium condition.

### Step 4 of 4

Calculate the moment for the force about point *B*.

As the force passes through point *B*, moment of the force about point *B* is zero.

**The moment for the force **** ****about point ****B**** is ****.**

The moment of force about point *B* is calculated using the equilibrium condition.

### Answer

**The moment for the force **** ****about point ****B**** is ****.**

**The moment for the force **** ****about point ****B**** is ****.**

**The moment for the force **** ****about point ****B**** is ****.**

### Answer only

**The moment for the force **** ****about point ****B**** is ****.**

**The moment for the force **** ****about point ****B**** is ****.**

**The moment for the force **** ****about point ****B**** is ****.**